Question

Solve the inequality |x-1|+x<=5

Answer 1

Explanation:

1st solution

When x-1 is positive

x-1+x≤5

2x-1≤5

2x≤6

x≤3

x-1≥0

x≥1

Solution: x€[1,3]

2nd solution

When x-1 is negative

-(x-1)+x≤5

-x-1+x≤5

-1≤5

0≤5

x-1<0

x<1

Solution: x€(-infinity, 1)